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2258133 = 33124281
BaseRepresentation
bin1000100111010011010101
311020201120120
420213103111
51034230013
6120222153
725123323
oct10472325
94221516
102258133
111302629
1290a959
13610a97
1442ad13
152e9123
hex2274d5

2258133 has 8 divisors (see below), whose sum is σ = 3108096. Its totient is φ = 1456800.

The previous prime is 2258129. The next prime is 2258149. The reversal of 2258133 is 3318522.

2258133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2258133 - 22 = 2258129 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2258133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12048 + ... + 12233.

It is an arithmetic number, because the mean of its divisors is an integer number (388512).

22258133 is an apocalyptic number.

It is an amenable number.

2258133 is a deficient number, since it is larger than the sum of its proper divisors (849963).

2258133 is a wasteful number, since it uses less digits than its factorization.

2258133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315.

The product of its digits is 1440, while the sum is 24.

The square root of 2258133 is about 1502.7085545774. The cubic root of 2258133 is about 131.1947649669.

The spelling of 2258133 in words is "two million, two hundred fifty-eight thousand, one hundred thirty-three".

Divisors: 1 3 31 93 24281 72843 752711 2258133